Finite Number Effect
What is it
The most recognized source of stochasticity in cellular protein production is the finite number effect. The finite number effect states that variability, manifested in the difference in protein production in genetically identical cells, will increase as the size of the system decreases. The size of the system refers to the protein concentration of the cell (the amount of transcriptional machinery that the cell has to work with).
Results
Figure A and B are simulations of the abundance of a reporter protein measured over time(Collins et. al.[1]). Figure A details results in a system of a high number of expressed protein and mRNA molecules (3000 and 10000 respectivly). Figure B deails the same simulation however the number of expressed proteins and mRNA molecules was decreased to 30 and 100 molecules respectivly. (100-fold difference.) The histogram on the right of each graph details the probability of a population expressing a respective abundant protein. The fluctuations in the line graph and the broader distribution of population expression, in figure b, demonstrates the finite number effect.
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A representative example is useful when demonstrating the finite number effect. Consider a cell where 10 protein molecules sit in the nucleus and 1000 in the cytoplasm. The removal of a molecule from the nucleus results in a 10% change in nuclear concentration, however the removal of a molecule from the cytoplasm results in only a 0.1% change. Thus a broader population heterogenity can be acheived when the size of the system is relatively small becuase of a small systems suceptibility to concentration changes as a result of stochastic events.
